Home
Class 12
MATHS
Evaluate int (x+1)/(x^(2)+3x+12) dx ....

Evaluate ` int (x+1)/(x^(2)+3x+12) dx `.

Text Solution

Verified by Experts

The correct Answer is:
`=(1)/(2) log |x^(2)+3x+12|-(1)/(sqrt(39)) tan^(-1)""((2x+3)/(sqrt(39)))+C`
Promotional Banner

Topper's Solved these Questions

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SOLVED PROBLEMS|53 Videos

  • INTEGRATION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise TEXTUAL EXERCISE -6A|29 Videos

  • HYPERBOLA

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise SAQ|2 Videos

  • MEASURES OF DISPERSION

    VIKRAM PUBLICATION ( ANDHRA PUBLICATION)|Exercise EXERCISE|9 Videos

Similar Questions

Explore conceptually related problems

Evaluate int (1)/(2x^(2) + x - 1) dx

Evaluate int (dx)/(x ^(2) +x+1) .

Evaluate int(x)/(x^(2) + x + 1) dx

Evaluate int (1)/(4x + 3x -2x^(2)) dx

Evaluate int (1)/(sqrt(3x^(2) - 5)) dx

Evaluate int (1)/(1 - x-x^(2)) dx

Evalute the following integrals int (x + 1)/(x^(2) + 3x + 12) dx

Evaluate int (1)/(sqrt(x^(2) - 4x - 12)) dx.

Evaluate int(x^(6)-1)/(x^(2)+1)dx

Evaluate int 2 x sin(x^(2) + 1)dx